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A deterministic system of coupled maps is proposed as a model for economic activity among interacting agents. The values of the maps represent the wealth of the agents. The dynamics of the system is controlled by two parameters. One…

Chaotic Dynamics · Physics 2008-12-02 J. R. Sanchez , J. Gonzalez-Estevez , R. Lopez-Ruiz , M. G. Cosenza

Traditional pricing paradigms, once dominated by static models and rule-based heuristics, are increasingly being replaced by dynamic, data-driven approaches powered by machine learning algorithms. Despite their growing sophistication, most…

Machine Learning · Computer Science 2025-12-01 Marco Mussi , Marcello Restelli

Many cryptocurrency brokers nowadays offer a variety of derivative assets that allow traders to perform hedging or speculation. This paper proposes an effective algorithm based on neural networks to take advantage of these investment…

Machine Learning · Computer Science 2023-10-03 Quoc Minh Nguyen , Dat Thanh Tran , Juho Kanniainen , Alexandros Iosifidis , Moncef Gabbouj

Although pair trading is the simplest hedging strategy for an investor to eliminate market risk, it is still a great challenge for reinforcement learning (RL) methods to perform pair trading as human expertise. It requires RL methods to…

Computational Finance · Quantitative Finance 2023-04-04 Weiguang Han , Jimin Huang , Qianqian Xie , Boyi Zhang , Yanzhao Lai , Min Peng

We consider the problem of maximizing portfolio value when an agent has a subjective view on asset value which differs from the traded market price. The agent's trades will have a price impact which affect the price at which the asset is…

Mathematical Finance · Quantitative Finance 2020-10-13 Ryan Donnelly , Matthew Lorig

In this paper, the problem of matching pairs of correlated random graphs with multi-valued edge attributes is considered. Graph matching problems of this nature arise in several settings of practical interest including social network…

Information Theory · Computer Science 2018-02-06 F. Shirani , S. Garg , E. Erkip

Pari-mutuel markets are trading platforms through which the common market maker simultaneously clears multiple contingent claims markets. This market has several distinctive properties that began attracting the attention of the financial…

Trading and Market Microstructure · Quantitative Finance 2015-11-11 Hee Su Roh , Yinyu Ye

We consider derivatives written on multiple underlyings in a one-period financial market, and we are interested in the computation of model-free upper and lower bounds for their arbitrage-free prices. We work in a completely realistic…

Optimization and Control · Mathematics 2022-01-13 Ariel Neufeld , Antonis Papapantoleon , Qikun Xiang

Pairs trading is a family of trading techniques that determine their policies based on monitoring the relationships between pairs of assets. A common pairs trading approach relies on describing the pair-wise relationship as a linear Space…

Trading and Market Microstructure · Quantitative Finance 2023-09-04 Amit Milstein , Haoran Deng , Guy Revach , Hai Morgenstern , Nir Shlezinger

Matching plays a vital role in the rational allocation of resources in many areas, ranging from market operation to people's daily lives. In economics, the term matching theory is coined for pairing two agents in a specific market to reach…

Social and Information Networks · Computer Science 2021-03-17 Jing Ren , Feng Xia , Xiangtai Chen , Jiaying Liu , Mingliang Hou , Ahsan Shehzad , Nargiz Sultanova , Xiangjie Kong

Particle swarm optimisation is a metaheuristic algorithm which finds reasonable solutions in a wide range of applied problems if suitable parameters are used. We study the properties of the algorithm in the framework of random dynamical…

Neural and Evolutionary Computing · Computer Science 2015-11-20 J. Michael Herrmann , Adam Erskine , Thomas Joyce

The paper presents two new approaches to modeling the interaction of small and medium pricetaking traders with a stock exchange. In the framework of these approaches, the traders can form and manage their portfolios of financial instruments…

Economics · Quantitative Finance 2016-10-19 A. Belenky , L. Egorova

Using duality theory techniques we derive simple, closed-form formulas for bounding the optimal revenue of a monopolist selling many heterogeneous goods, in the case where the buyer's valuations for the items come i.i.d. from a uniform…

Computer Science and Game Theory · Computer Science 2015-10-14 Yiannis Giannakopoulos

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

In this work, we consider the optimal portfolio selection problem under hard constraints on trading amounts, transaction costs and different rates for borrowing and lending when the risky asset returns are serially correlated. No…

Portfolio Management · Quantitative Finance 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

An agent-based modelling methodology for the joint price evolution of two stocks is put forward. The method models future multidimensional price trajectories reflecting how a class of agents rebalance their portfolios in an operational way…

Mathematical Finance · Quantitative Finance 2025-03-25 Dario Crisci , Sebastian E. Ferrando , Konrad Gajewski

We consider a financial market where the asset price follows a fractional Brownian motion. We introduce a family of investment strategies, and quantify profit possibilities for both persistent and antipersistant markets.

Statistical Mechanics · Physics 2010-05-04 Ingve Simonsen , Kim Sneppen

Auctions are widely used in exchanges to match buy and sell requests. Once the buyers and sellers place their requests, the exchange determines how these requests are to be matched. The two most popular objectives used while determining the…

Data Structures and Algorithms · Computer Science 2024-03-06 Mohit Garg , Suneel Sarswat

Interaction strategies for reward in competitive environments are significantly influenced by the nature and extent of available information. In financial markets, particularly foreign exchange (forex), traders operate independently with…

Computational Engineering, Finance, and Science · Computer Science 2024-12-03 Patrick Naivasha , George Musumba , Patrick Gikunda , John Wandeto

This paper studies Markov perfect equilibria in a repeated duopoly model where sellers choose algorithms. An algorithm is a mapping from the competitor's price to own price. Once set, algorithms respond quickly. Customers arrive randomly…

Theoretical Economics · Economics 2022-07-04 Rohit Lamba , Sergey Zhuk